Stark's Conjectures

4.11 - 1251 ratings - Source

Stark's conjectures on the behavior of $L$-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and $p$-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur. The book is suitable for graduate students and researchers interested in number theory.Fitting ideals and some algebra 2.1. ... is finite), and the exponent minus denotes
taking the minus eigenspace under complex conjugation which is denoted by j in
this paper: PROPOSITION 2.1.1. ... A good choice is afforded by the theory of
Fitting ideals which we now explain. ... So for instance with R = Z, the module M =
Z/n 17 A ... x Z/n, Z has Fitting ideal n1 . . . . . n, Z and annihilator lcm(n1, ... , nr.)anbsp;...

Title

:

Stark's Conjectures

Author

:

David Burns

Publisher

:

American Mathematical Soc. - 2004

ISBN-13

:

You must register with us as either a Registered User before you can Download this Book. You'll be greeted by a simple sign-up page.

Once you have finished the sign-up process, you will be redirected to your download Book page.